{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1) Loading data\n",
      "CRITERION: 0.368259482727\n",
      "NMI: 0.930673152976\n",
      "ARI: 0.959306989875\n",
      "ACCURACY: 0.986378822925\n"
     ]
    },
    {
     "data": {
      "image/png": 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oOPsuERH1DKcLjKcmnqHeRZadBk7/B+KXi5SOQkREfQgv4qUukQfzAa0WGD1e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\nGCIiIoo6/wD9WA3r6YJs7QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1094f5950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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C01PBW28JAun33xewZ89GJk5chEKh4vTpcrKy6nat/a+jUAh/ycpKDWZmFje/C16Q1b81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\nuZScnBSKi/NxcnIlNNSFqCh3oqLckEjg/PljJCbGoFLZ4+ampWNHd+6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QoZ3W96ukRMfJ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\nIiISDQYlIiISDQYlIiISjX8DW8q/aPHautUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a243ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import scipy.io as io\n",
    "from sklearn.metrics import (adjusted_rand_score as ari,\n",
    "                             normalized_mutual_info_score as nmi)\n",
    "from coclust.coclustering import CoclustInfo\n",
    "from coclust.evaluation.external import accuracy\n",
    "from coclust.visualization import plot_delta_kl, plot_convergence\n",
    "\n",
    "\n",
    "# Retrieve the Classic3  document-term matrix from a matlab file\n",
    "print(\"1) Loading data\")\n",
    "file_name = \"../datasets/classic3.mat\"\n",
    "matlab_dict = io.loadmat(file_name)\n",
    "X = matlab_dict['A']\n",
    "\n",
    "# Create and fit a model with 3 co-clusters\n",
    "nb_clusters = 3\n",
    "model = CoclustInfo(n_row_clusters=nb_clusters, n_col_clusters=nb_clusters,\n",
    "                    n_init=4, random_state=0)\n",
    "model.fit(X)\n",
    "\n",
    "# Evaluate the results\n",
    "print(\"CRITERION: %s\" % model.criterion)\n",
    "true_row_labels = matlab_dict['labels'].flatten()\n",
    "predicted_row_labels = model.row_labels_\n",
    "nmi_ = nmi(true_row_labels, predicted_row_labels)\n",
    "ari_ = ari(true_row_labels, predicted_row_labels)\n",
    "print(\"NMI: {}\\nARI: {}\".format(nmi_, ari_))\n",
    "accuracy = accuracy(true_row_labels, predicted_row_labels)\n",
    "print(\"ACCURACY: %s\" % accuracy)\n",
    "\n",
    "# Show convergence\n",
    "plot_convergence(model.criterions, 'P_KL MI')\n",
    "\n",
    "plot_delta_kl(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
